What is the Greatest Common Factor of 79220 and 79240?

Greatest common factor (GCF) of 79220 and 79240 is 20.

GCF(79220,79240) = 20

We will now calculate the prime factors of 79220 and 79240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79220 and 79240.

How to find the GCF of 79220 and 79240?

We will first find the prime factorization of 79220 and 79240. After we will calculate the factors of 79220 and 79240 and find the biggest common factor number .

Step-1: Prime Factorization of 79220

Prime factors of 79220 are 2, 5, 17, 233. Prime factorization of 79220 in exponential form is:

79220 = 2² × 5¹ × 17¹ × 233¹

Step-2: Prime Factorization of 79240

Prime factors of 79240 are 2, 5, 7, 283. Prime factorization of 79240 in exponential form is:

79240 = 2³ × 5¹ × 7¹ × 283¹

Step-3: Factors of 79220

List of positive integer factors of 79220 that divides 79220 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 233, 340, 466, 932, 1165, 2330, 3961, 4660, 7922, 15844, 19805, 39610

Step-4: Factors of 79240

List of positive integer factors of 79240 that divides 79220 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280, 283, 566, 1132, 1415, 1981, 2264, 2830, 3962, 5660, 7924, 9905, 11320, 15848, 19810, 39620

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79220 and 79240. The biggest common factor number is the GCF number.
So the greatest common factor 79220 and 79240 is 20.

Also check out the Least Common Multiple of 79220 and 79240