What is the Greatest Common Factor of 79095 and 79100?

Greatest common factor (GCF) of 79095 and 79100 is 5.

GCF(79095,79100) = 5

We will now calculate the prime factors of 79095 and 79100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79095 and 79100.

How to find the GCF of 79095 and 79100?

We will first find the prime factorization of 79095 and 79100. After we will calculate the factors of 79095 and 79100 and find the biggest common factor number .

Step-1: Prime Factorization of 79095

Prime factors of 79095 are 3, 5, 5273. Prime factorization of 79095 in exponential form is:

79095 = 3¹ × 5¹ × 5273¹

Step-2: Prime Factorization of 79100

Prime factors of 79100 are 2, 5, 7, 113. Prime factorization of 79100 in exponential form is:

79100 = 2² × 5² × 7¹ × 113¹

Step-3: Factors of 79095

List of positive integer factors of 79095 that divides 79095 without a remainder.

1, 3, 5, 15, 5273, 15819, 26365

Step-4: Factors of 79100

List of positive integer factors of 79100 that divides 79095 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 113, 140, 175, 226, 350, 452, 565, 700, 791, 1130, 1582, 2260, 2825, 3164, 3955, 5650, 7910, 11300, 15820, 19775, 39550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79095 and 79100. The biggest common factor number is the GCF number.
So the greatest common factor 79095 and 79100 is 5.

Also check out the Least Common Multiple of 79095 and 79100