What is the Greatest Common Factor of 85202 and 85220?

Greatest common factor (GCF) of 85202 and 85220 is 2.

GCF(85202,85220) = 2

We will now calculate the prime factors of 85202 and 85220, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85202 and 85220.

How to find the GCF of 85202 and 85220?

We will first find the prime factorization of 85202 and 85220. After we will calculate the factors of 85202 and 85220 and find the biggest common factor number .

Step-1: Prime Factorization of 85202

Prime factors of 85202 are 2, 13, 29, 113. Prime factorization of 85202 in exponential form is:

85202 = 2¹ × 13¹ × 29¹ × 113¹

Step-2: 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-3: Factors of 85202

List of positive integer factors of 85202 that divides 85202 without a remainder.

1, 2, 13, 26, 29, 58, 113, 226, 377, 754, 1469, 2938, 3277, 6554, 42601

Step-4: Factors of 85220

List of positive integer factors of 85220 that divides 85202 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85202 and 85220. The biggest common factor number is the GCF number.
So the greatest common factor 85202 and 85220 is 2.

Also check out the Least Common Multiple of 85202 and 85220