What is the Greatest Common Factor of 64736 and 64752?

Greatest common factor (GCF) of 64736 and 64752 is 16.

GCF(64736,64752) = 16

We will now calculate the prime factors of 64736 and 64752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64736 and 64752.

How to find the GCF of 64736 and 64752?

We will first find the prime factorization of 64736 and 64752. After we will calculate the factors of 64736 and 64752 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 64752

Prime factors of 64752 are 2, 3, 19, 71. Prime factorization of 64752 in exponential form is:

64752 = 2⁴ × 3¹ × 19¹ × 71¹

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 64752

List of positive integer factors of 64752 that divides 64736 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 71, 76, 114, 142, 152, 213, 228, 284, 304, 426, 456, 568, 852, 912, 1136, 1349, 1704, 2698, 3408, 4047, 5396, 8094, 10792, 16188, 21584, 32376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64736 and 64752. The biggest common factor number is the GCF number.
So the greatest common factor 64736 and 64752 is 16.

Also check out the Least Common Multiple of 64736 and 64752