What is the Greatest Common Factor of 70720 and 70736?

Greatest common factor (GCF) of 70720 and 70736 is 16.

GCF(70720,70736) = 16

We will now calculate the prime factors of 70720 and 70736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70720 and 70736.

How to find the GCF of 70720 and 70736?

We will first find the prime factorization of 70720 and 70736. After we will calculate the factors of 70720 and 70736 and find the biggest common factor number .

Step-1: Prime Factorization of 70720

Prime factors of 70720 are 2, 5, 13, 17. Prime factorization of 70720 in exponential form is:

70720 = 2⁶ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 70736

Prime factors of 70736 are 2, 4421. Prime factorization of 70736 in exponential form is:

70736 = 2⁴ × 4421¹

Step-3: Factors of 70720

List of positive integer factors of 70720 that divides 70720 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 64, 65, 68, 80, 85, 104, 130, 136, 160, 170, 208, 221, 260, 272, 320, 340, 416, 442, 520, 544, 680, 832, 884, 1040, 1088, 1105, 1360, 1768, 2080, 2210, 2720, 3536, 4160, 4420, 5440, 7072, 8840, 14144, 17680, 35360

Step-4: Factors of 70736

List of positive integer factors of 70736 that divides 70720 without a remainder.

1, 2, 4, 8, 16, 4421, 8842, 17684, 35368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70720 and 70736. The biggest common factor number is the GCF number.
So the greatest common factor 70720 and 70736 is 16.

Also check out the Least Common Multiple of 70720 and 70736