What is the Greatest Common Factor of 63574 and 63588?

Greatest common factor (GCF) of 63574 and 63588 is 14.

GCF(63574,63588) = 14

We will now calculate the prime factors of 63574 and 63588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63574 and 63588.

How to find the GCF of 63574 and 63588?

We will first find the prime factorization of 63574 and 63588. After we will calculate the factors of 63574 and 63588 and find the biggest common factor number .

Step-1: Prime Factorization of 63574

Prime factors of 63574 are 2, 7, 19, 239. Prime factorization of 63574 in exponential form is:

63574 = 2¹ × 7¹ × 19¹ × 239¹

Step-2: Prime Factorization of 63588

Prime factors of 63588 are 2, 3, 7, 757. Prime factorization of 63588 in exponential form is:

63588 = 2² × 3¹ × 7¹ × 757¹

Step-3: Factors of 63574

List of positive integer factors of 63574 that divides 63574 without a remainder.

1, 2, 7, 14, 19, 38, 133, 239, 266, 478, 1673, 3346, 4541, 9082, 31787

Step-4: Factors of 63588

List of positive integer factors of 63588 that divides 63574 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 757, 1514, 2271, 3028, 4542, 5299, 9084, 10598, 15897, 21196, 31794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63574 and 63588. The biggest common factor number is the GCF number.
So the greatest common factor 63574 and 63588 is 14.

Also check out the Least Common Multiple of 63574 and 63588