What is the Greatest Common Factor of 70512 and 70528?

Greatest common factor (GCF) of 70512 and 70528 is 16.

GCF(70512,70528) = 16

We will now calculate the prime factors of 70512 and 70528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70512 and 70528.

How to find the GCF of 70512 and 70528?

We will first find the prime factorization of 70512 and 70528. After we will calculate the factors of 70512 and 70528 and find the biggest common factor number .

Step-1: Prime Factorization of 70512

Prime factors of 70512 are 2, 3, 13, 113. Prime factorization of 70512 in exponential form is:

70512 = 2⁴ × 3¹ × 13¹ × 113¹

Step-2: Prime Factorization of 70528

Prime factors of 70528 are 2, 19, 29. Prime factorization of 70528 in exponential form is:

70528 = 2⁷ × 19¹ × 29¹

Step-3: Factors of 70512

List of positive integer factors of 70512 that divides 70512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 113, 156, 208, 226, 312, 339, 452, 624, 678, 904, 1356, 1469, 1808, 2712, 2938, 4407, 5424, 5876, 8814, 11752, 17628, 23504, 35256

Step-4: Factors of 70528

List of positive integer factors of 70528 that divides 70512 without a remainder.

1, 2, 4, 8, 16, 19, 29, 32, 38, 58, 64, 76, 116, 128, 152, 232, 304, 464, 551, 608, 928, 1102, 1216, 1856, 2204, 2432, 3712, 4408, 8816, 17632, 35264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70512 and 70528. The biggest common factor number is the GCF number.
So the greatest common factor 70512 and 70528 is 16.

Also check out the Least Common Multiple of 70512 and 70528