What is the Greatest Common Factor of 63572 and 63580?
Greatest common factor (GCF) of 63572 and 63580 is 4.
GCF(63572,63580) = 4
We will now calculate the prime factors of 63572 and 63580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63572 and 63580.
How to find the GCF of 63572 and 63580?
We will first find the prime factorization of 63572 and 63580. After we will calculate the factors of 63572 and 63580 and find the biggest common factor number .
Step-1: Prime Factorization of 63572
Prime factors of 63572 are 2, 23, 691. Prime factorization of 63572 in exponential form is:
63572 = 22 × 231 × 6911
Step-2: Prime Factorization of 63580
Prime factors of 63580 are 2, 5, 11, 17. Prime factorization of 63580 in exponential form is:
63580 = 22 × 51 × 111 × 172
Step-3: Factors of 63572
List of positive integer factors of 63572 that divides 63572 without a remainder.
1, 2, 4, 23, 46, 92, 691, 1382, 2764, 15893, 31786
Step-4: Factors of 63580
List of positive integer factors of 63580 that divides 63572 without a remainder.
1, 2, 4, 5, 10, 11, 17, 20, 22, 34, 44, 55, 68, 85, 110, 170, 187, 220, 289, 340, 374, 578, 748, 935, 1156, 1445, 1870, 2890, 3179, 3740, 5780, 6358, 12716, 15895, 31790
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 63572 and 63580. The biggest common factor number is the GCF number.
So the greatest common factor 63572 and 63580 is 4.
Also check out the Least Common Multiple of 63572 and 63580
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