What is the Greatest Common Factor of 70710 and 70720?

Greatest common factor (GCF) of 70710 and 70720 is 10.

GCF(70710,70720) = 10

We will now calculate the prime factors of 70710 and 70720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70710 and 70720.

How to find the GCF of 70710 and 70720?

We will first find the prime factorization of 70710 and 70720. After we will calculate the factors of 70710 and 70720 and find the biggest common factor number .

Step-1: Prime Factorization of 70710

Prime factors of 70710 are 2, 3, 5, 2357. Prime factorization of 70710 in exponential form is:

70710 = 2¹ × 3¹ × 5¹ × 2357¹

Step-2: 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-3: Factors of 70710

List of positive integer factors of 70710 that divides 70710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2357, 4714, 7071, 11785, 14142, 23570, 35355

Step-4: Factors of 70720

List of positive integer factors of 70720 that divides 70710 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70710 and 70720. The biggest common factor number is the GCF number.
So the greatest common factor 70710 and 70720 is 10.

Also check out the Least Common Multiple of 70710 and 70720