What is the Greatest Common Factor of 62645 and 62656?

Greatest common factor (GCF) of 62645 and 62656 is 11.

GCF(62645,62656) = 11

We will now calculate the prime factors of 62645 and 62656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62645 and 62656.

How to find the GCF of 62645 and 62656?

We will first find the prime factorization of 62645 and 62656. After we will calculate the factors of 62645 and 62656 and find the biggest common factor number .

Step-1: Prime Factorization of 62645

Prime factors of 62645 are 5, 11, 17, 67. Prime factorization of 62645 in exponential form is:

62645 = 5¹ × 11¹ × 17¹ × 67¹

Step-2: 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-3: Factors of 62645

List of positive integer factors of 62645 that divides 62645 without a remainder.

1, 5, 11, 17, 55, 67, 85, 187, 335, 737, 935, 1139, 3685, 5695, 12529

Step-4: Factors of 62656

List of positive integer factors of 62656 that divides 62645 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62645 and 62656. The biggest common factor number is the GCF number.
So the greatest common factor 62645 and 62656 is 11.

Also check out the Least Common Multiple of 62645 and 62656