What is the Greatest Common Factor of 62720 and 62739?

Greatest common factor (GCF) of 62720 and 62739 is 1.

GCF(62720,62739) = 1

We will now calculate the prime factors of 62720 and 62739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62720 and 62739.

How to find the GCF of 62720 and 62739?

We will first find the prime factorization of 62720 and 62739. After we will calculate the factors of 62720 and 62739 and find the biggest common factor number .

Step-1: Prime Factorization of 62720

Prime factors of 62720 are 2, 5, 7. Prime factorization of 62720 in exponential form is:

62720 = 2⁸ × 5¹ × 7²

Step-2: Prime Factorization of 62739

Prime factors of 62739 are 3, 6971. Prime factorization of 62739 in exponential form is:

62739 = 3² × 6971¹

Step-3: Factors of 62720

List of positive integer factors of 62720 that divides 62720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 64, 70, 80, 98, 112, 128, 140, 160, 196, 224, 245, 256, 280, 320, 392, 448, 490, 560, 640, 784, 896, 980, 1120, 1280, 1568, 1792, 1960, 2240, 3136, 3920, 4480, 6272, 7840, 8960, 12544, 15680, 31360

Step-4: Factors of 62739

List of positive integer factors of 62739 that divides 62720 without a remainder.

1, 3, 9, 6971, 20913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62720 and 62739. The biggest common factor number is the GCF number.
So the greatest common factor 62720 and 62739 is 1.

Also check out the Least Common Multiple of 62720 and 62739