What is the Greatest Common Factor of 79490 and 79500?

Greatest common factor (GCF) of 79490 and 79500 is 10.

GCF(79490,79500) = 10

We will now calculate the prime factors of 79490 and 79500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79490 and 79500.

How to find the GCF of 79490 and 79500?

We will first find the prime factorization of 79490 and 79500. After we will calculate the factors of 79490 and 79500 and find the biggest common factor number .

Step-1: Prime Factorization of 79490

Prime factors of 79490 are 2, 5, 7949. Prime factorization of 79490 in exponential form is:

79490 = 2¹ × 5¹ × 7949¹

Step-2: Prime Factorization of 79500

Prime factors of 79500 are 2, 3, 5, 53. Prime factorization of 79500 in exponential form is:

79500 = 2² × 3¹ × 5³ × 53¹

Step-3: Factors of 79490

List of positive integer factors of 79490 that divides 79490 without a remainder.

1, 2, 5, 10, 7949, 15898, 39745

Step-4: Factors of 79500

List of positive integer factors of 79500 that divides 79490 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 53, 60, 75, 100, 106, 125, 150, 159, 212, 250, 265, 300, 318, 375, 500, 530, 636, 750, 795, 1060, 1325, 1500, 1590, 2650, 3180, 3975, 5300, 6625, 7950, 13250, 15900, 19875, 26500, 39750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79490 and 79500. The biggest common factor number is the GCF number.
So the greatest common factor 79490 and 79500 is 10.

Also check out the Least Common Multiple of 79490 and 79500