What is the Greatest Common Factor of 79680 and 79690?

Greatest common factor (GCF) of 79680 and 79690 is 10.

GCF(79680,79690) = 10

We will now calculate the prime factors of 79680 and 79690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79680 and 79690.

How to find the GCF of 79680 and 79690?

We will first find the prime factorization of 79680 and 79690. After we will calculate the factors of 79680 and 79690 and find the biggest common factor number .

Step-1: Prime Factorization of 79680

Prime factors of 79680 are 2, 3, 5, 83. Prime factorization of 79680 in exponential form is:

79680 = 2⁶ × 3¹ × 5¹ × 83¹

Step-2: Prime Factorization of 79690

Prime factors of 79690 are 2, 5, 13, 613. Prime factorization of 79690 in exponential form is:

79690 = 2¹ × 5¹ × 13¹ × 613¹

Step-3: Factors of 79680

List of positive integer factors of 79680 that divides 79680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 83, 96, 120, 160, 166, 192, 240, 249, 320, 332, 415, 480, 498, 664, 830, 960, 996, 1245, 1328, 1660, 1992, 2490, 2656, 3320, 3984, 4980, 5312, 6640, 7968, 9960, 13280, 15936, 19920, 26560, 39840

Step-4: Factors of 79690

List of positive integer factors of 79690 that divides 79680 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 613, 1226, 3065, 6130, 7969, 15938, 39845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79680 and 79690. The biggest common factor number is the GCF number.
So the greatest common factor 79680 and 79690 is 10.

Also check out the Least Common Multiple of 79680 and 79690