What is the Greatest Common Factor of 70720 and 70739?

Greatest common factor (GCF) of 70720 and 70739 is 1.

GCF(70720,70739) = 1

We will now calculate the prime factors of 70720 and 70739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70720 and 70739.

How to find the GCF of 70720 and 70739?

We will first find the prime factorization of 70720 and 70739. After we will calculate the factors of 70720 and 70739 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 70739

Prime factors of 70739 are 127, 557. Prime factorization of 70739 in exponential form is:

70739 = 127¹ × 557¹

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 70739

List of positive integer factors of 70739 that divides 70720 without a remainder.

1, 127, 557

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70720 and 70739. The biggest common factor number is the GCF number.
So the greatest common factor 70720 and 70739 is 1.

Also check out the Least Common Multiple of 70720 and 70739