What is the Greatest Common Factor of 62664 and 62671?

Greatest common factor (GCF) of 62664 and 62671 is 7.

GCF(62664,62671) = 7

We will now calculate the prime factors of 62664 and 62671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62664 and 62671.

How to find the GCF of 62664 and 62671?

We will first find the prime factorization of 62664 and 62671. After we will calculate the factors of 62664 and 62671 and find the biggest common factor number .

Step-1: Prime Factorization of 62664

Prime factors of 62664 are 2, 3, 7, 373. Prime factorization of 62664 in exponential form is:

62664 = 2³ × 3¹ × 7¹ × 373¹

Step-2: Prime Factorization of 62671

Prime factors of 62671 are 7, 1279. Prime factorization of 62671 in exponential form is:

62671 = 7² × 1279¹

Step-3: Factors of 62664

List of positive integer factors of 62664 that divides 62664 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 373, 746, 1119, 1492, 2238, 2611, 2984, 4476, 5222, 7833, 8952, 10444, 15666, 20888, 31332

Step-4: Factors of 62671

List of positive integer factors of 62671 that divides 62664 without a remainder.

1, 7, 49, 1279, 8953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62664 and 62671. The biggest common factor number is the GCF number.
So the greatest common factor 62664 and 62671 is 7.

Also check out the Least Common Multiple of 62664 and 62671