What is the Greatest Common Factor of 62656 and 62667?

Greatest common factor (GCF) of 62656 and 62667 is 11.

GCF(62656,62667) = 11

We will now calculate the prime factors of 62656 and 62667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62656 and 62667.

How to find the GCF of 62656 and 62667?

We will first find the prime factorization of 62656 and 62667. After we will calculate the factors of 62656 and 62667 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 62667

Prime factors of 62667 are 3, 11, 211. Prime factorization of 62667 in exponential form is:

62667 = 3³ × 11¹ × 211¹

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 62667

List of positive integer factors of 62667 that divides 62656 without a remainder.

1, 3, 9, 11, 27, 33, 99, 211, 297, 633, 1899, 2321, 5697, 6963, 20889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62656 and 62667. The biggest common factor number is the GCF number.
So the greatest common factor 62656 and 62667 is 11.

Also check out the Least Common Multiple of 62656 and 62667