What is the Greatest Common Factor of 70744 and 70752?

Greatest common factor (GCF) of 70744 and 70752 is 8.

GCF(70744,70752) = 8

We will now calculate the prime factors of 70744 and 70752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70744 and 70752.

How to find the GCF of 70744 and 70752?

We will first find the prime factorization of 70744 and 70752. After we will calculate the factors of 70744 and 70752 and find the biggest common factor number .

Step-1: Prime Factorization of 70744

Prime factors of 70744 are 2, 37, 239. Prime factorization of 70744 in exponential form is:

70744 = 2³ × 37¹ × 239¹

Step-2: Prime Factorization of 70752

Prime factors of 70752 are 2, 3, 11, 67. Prime factorization of 70752 in exponential form is:

70752 = 2⁵ × 3¹ × 11¹ × 67¹

Step-3: Factors of 70744

List of positive integer factors of 70744 that divides 70744 without a remainder.

1, 2, 4, 8, 37, 74, 148, 239, 296, 478, 956, 1912, 8843, 17686, 35372

Step-4: Factors of 70752

List of positive integer factors of 70752 that divides 70744 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 66, 67, 88, 96, 132, 134, 176, 201, 264, 268, 352, 402, 528, 536, 737, 804, 1056, 1072, 1474, 1608, 2144, 2211, 2948, 3216, 4422, 5896, 6432, 8844, 11792, 17688, 23584, 35376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70744 and 70752. The biggest common factor number is the GCF number.
So the greatest common factor 70744 and 70752 is 8.

Also check out the Least Common Multiple of 70744 and 70752