What is the Greatest Common Factor of 27625 and 27636?
Greatest common factor (GCF) of 27625 and 27636 is 1.
GCF(27625,27636) = 1
We will now calculate the prime factors of 27625 and 27636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27625 and 27636.
How to find the GCF of 27625 and 27636?
We will first find the prime factorization of 27625 and 27636. After we will calculate the factors of 27625 and 27636 and find the biggest common factor number .
Step-1: Prime Factorization of 27625
Prime factors of 27625 are 5, 13, 17. Prime factorization of 27625 in exponential form is:
27625 = 53 × 131 × 171
Step-2: Prime Factorization of 27636
Prime factors of 27636 are 2, 3, 7, 47. Prime factorization of 27636 in exponential form is:
27636 = 22 × 31 × 72 × 471
Step-3: Factors of 27625
List of positive integer factors of 27625 that divides 27625 without a remainder.
1, 5, 13, 17, 25, 65, 85, 125, 221, 325, 425, 1105, 1625, 2125, 5525
Step-4: Factors of 27636
List of positive integer factors of 27636 that divides 27625 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 47, 49, 84, 94, 98, 141, 147, 188, 196, 282, 294, 329, 564, 588, 658, 987, 1316, 1974, 2303, 3948, 4606, 6909, 9212, 13818
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 27625 and 27636. The biggest common factor number is the GCF number.
So the greatest common factor 27625 and 27636 is 1.
Also check out the Least Common Multiple of 27625 and 27636
Related Greatest Common Factors of 27625
- GCF of 27625 and 27629
- GCF of 27625 and 27630
- GCF of 27625 and 27631
- GCF of 27625 and 27632
- GCF of 27625 and 27633
- GCF of 27625 and 27634
- GCF of 27625 and 27635
- GCF of 27625 and 27636
- GCF of 27625 and 27637
- GCF of 27625 and 27638
- GCF of 27625 and 27639
- GCF of 27625 and 27640
- GCF of 27625 and 27641
- GCF of 27625 and 27642
- GCF of 27625 and 27643
- GCF of 27625 and 27644
- GCF of 27625 and 27645
Related Greatest Common Factors of 27636
- GCF of 27636 and 27640
- GCF of 27636 and 27641
- GCF of 27636 and 27642
- GCF of 27636 and 27643
- GCF of 27636 and 27644
- GCF of 27636 and 27645
- GCF of 27636 and 27646
- GCF of 27636 and 27647
- GCF of 27636 and 27648
- GCF of 27636 and 27649
- GCF of 27636 and 27650
- GCF of 27636 and 27651
- GCF of 27636 and 27652
- GCF of 27636 and 27653
- GCF of 27636 and 27654
- GCF of 27636 and 27655
- GCF of 27636 and 27656