What is the Greatest Common Factor of 64736 and 64754?

Greatest common factor (GCF) of 64736 and 64754 is 2.

GCF(64736,64754) = 2

We will now calculate the prime factors of 64736 and 64754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64736 and 64754.

How to find the GCF of 64736 and 64754?

We will first find the prime factorization of 64736 and 64754. After we will calculate the factors of 64736 and 64754 and find the biggest common factor number .

Step-1: Prime Factorization of 64736

Prime factors of 64736 are 2, 7, 17. Prime factorization of 64736 in exponential form is:

64736 = 2⁵ × 7¹ × 17²

Step-2: Prime Factorization of 64754

Prime factors of 64754 are 2, 32377. Prime factorization of 64754 in exponential form is:

64754 = 2¹ × 32377¹

Step-3: Factors of 64736

List of positive integer factors of 64736 that divides 64736 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 289, 476, 544, 578, 952, 1156, 1904, 2023, 2312, 3808, 4046, 4624, 8092, 9248, 16184, 32368

Step-4: Factors of 64754

List of positive integer factors of 64754 that divides 64736 without a remainder.

1, 2, 32377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64736 and 64754. The biggest common factor number is the GCF number.
So the greatest common factor 64736 and 64754 is 2.

Also check out the Least Common Multiple of 64736 and 64754