What is the Greatest Common Factor of 62656 and 62676?

Greatest common factor (GCF) of 62656 and 62676 is 4.

GCF(62656,62676) = 4

We will now calculate the prime factors of 62656 and 62676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62656 and 62676.

How to find the GCF of 62656 and 62676?

We will first find the prime factorization of 62656 and 62676. After we will calculate the factors of 62656 and 62676 and find the biggest common factor number .

Step-1: Prime Factorization of 62656

Prime factors of 62656 are 2, 11, 89. Prime factorization of 62656 in exponential form is:

62656 = 2⁶ × 11¹ × 89¹

Step-2: Prime Factorization of 62676

Prime factors of 62676 are 2, 3, 1741. Prime factorization of 62676 in exponential form is:

62676 = 2² × 3² × 1741¹

Step-3: Factors of 62656

List of positive integer factors of 62656 that divides 62656 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 89, 176, 178, 352, 356, 704, 712, 979, 1424, 1958, 2848, 3916, 5696, 7832, 15664, 31328

Step-4: Factors of 62676

List of positive integer factors of 62676 that divides 62656 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1741, 3482, 5223, 6964, 10446, 15669, 20892, 31338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62656 and 62676. The biggest common factor number is the GCF number.
So the greatest common factor 62656 and 62676 is 4.

Also check out the Least Common Multiple of 62656 and 62676