What is the Greatest Common Factor of 45552 and 45560?
Greatest common factor (GCF) of 45552 and 45560 is 8.
GCF(45552,45560) = 8
We will now calculate the prime factors of 45552 and 45560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45552 and 45560.
How to find the GCF of 45552 and 45560?
We will first find the prime factorization of 45552 and 45560. After we will calculate the factors of 45552 and 45560 and find the biggest common factor number .
Step-1: Prime Factorization of 45552
Prime factors of 45552 are 2, 3, 13, 73. Prime factorization of 45552 in exponential form is:
45552 = 24 × 31 × 131 × 731
Step-2: Prime Factorization of 45560
Prime factors of 45560 are 2, 5, 17, 67. Prime factorization of 45560 in exponential form is:
45560 = 23 × 51 × 171 × 671
Step-3: Factors of 45552
List of positive integer factors of 45552 that divides 45552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 73, 78, 104, 146, 156, 208, 219, 292, 312, 438, 584, 624, 876, 949, 1168, 1752, 1898, 2847, 3504, 3796, 5694, 7592, 11388, 15184, 22776
Step-4: Factors of 45560
List of positive integer factors of 45560 that divides 45552 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 67, 68, 85, 134, 136, 170, 268, 335, 340, 536, 670, 680, 1139, 1340, 2278, 2680, 4556, 5695, 9112, 11390, 22780
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 45552 and 45560. The biggest common factor number is the GCF number.
So the greatest common factor 45552 and 45560 is 8.
Also check out the Least Common Multiple of 45552 and 45560
Related Greatest Common Factors of 45552
- GCF of 45552 and 45556
- GCF of 45552 and 45557
- GCF of 45552 and 45558
- GCF of 45552 and 45559
- GCF of 45552 and 45560
- GCF of 45552 and 45561
- GCF of 45552 and 45562
- GCF of 45552 and 45563
- GCF of 45552 and 45564
- GCF of 45552 and 45565
- GCF of 45552 and 45566
- GCF of 45552 and 45567
- GCF of 45552 and 45568
- GCF of 45552 and 45569
- GCF of 45552 and 45570
- GCF of 45552 and 45571
- GCF of 45552 and 45572
Related Greatest Common Factors of 45560
- GCF of 45560 and 45564
- GCF of 45560 and 45565
- GCF of 45560 and 45566
- GCF of 45560 and 45567
- GCF of 45560 and 45568
- GCF of 45560 and 45569
- GCF of 45560 and 45570
- GCF of 45560 and 45571
- GCF of 45560 and 45572
- GCF of 45560 and 45573
- GCF of 45560 and 45574
- GCF of 45560 and 45575
- GCF of 45560 and 45576
- GCF of 45560 and 45577
- GCF of 45560 and 45578
- GCF of 45560 and 45579
- GCF of 45560 and 45580