What is the Greatest Common Factor of 85220 and 85228?

Greatest common factor (GCF) of 85220 and 85228 is 4.

GCF(85220,85228) = 4

We will now calculate the prime factors of 85220 and 85228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85220 and 85228.

How to find the GCF of 85220 and 85228?

We will first find the prime factorization of 85220 and 85228. After we will calculate the factors of 85220 and 85228 and find the biggest common factor number .

Step-1: Prime Factorization of 85220

Prime factors of 85220 are 2, 5, 4261. Prime factorization of 85220 in exponential form is:

85220 = 2² × 5¹ × 4261¹

Step-2: Prime Factorization of 85228

Prime factors of 85228 are 2, 11, 13, 149. Prime factorization of 85228 in exponential form is:

85228 = 2² × 11¹ × 13¹ × 149¹

Step-3: Factors of 85220

List of positive integer factors of 85220 that divides 85220 without a remainder.

1, 2, 4, 5, 10, 20, 4261, 8522, 17044, 21305, 42610

Step-4: Factors of 85228

List of positive integer factors of 85228 that divides 85220 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 149, 286, 298, 572, 596, 1639, 1937, 3278, 3874, 6556, 7748, 21307, 42614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85220 and 85228. The biggest common factor number is the GCF number.
So the greatest common factor 85220 and 85228 is 4.

Also check out the Least Common Multiple of 85220 and 85228