What is the Greatest Common Factor of 70716 and 70720?

Greatest common factor (GCF) of 70716 and 70720 is 4.

GCF(70716,70720) = 4

We will now calculate the prime factors of 70716 and 70720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70716 and 70720.

How to find the GCF of 70716 and 70720?

We will first find the prime factorization of 70716 and 70720. After we will calculate the factors of 70716 and 70720 and find the biggest common factor number .

Step-1: Prime Factorization of 70716

Prime factors of 70716 are 2, 3, 71, 83. Prime factorization of 70716 in exponential form is:

70716 = 2² × 3¹ × 71¹ × 83¹

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 70716

List of positive integer factors of 70716 that divides 70716 without a remainder.

1, 2, 3, 4, 6, 12, 71, 83, 142, 166, 213, 249, 284, 332, 426, 498, 852, 996, 5893, 11786, 17679, 23572, 35358

Step-4: Factors of 70720

List of positive integer factors of 70720 that divides 70716 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 70716 and 70720. The biggest common factor number is the GCF number.
So the greatest common factor 70716 and 70720 is 4.

Also check out the Least Common Multiple of 70716 and 70720