What is the Greatest Common Factor of 85141 and 85148?

Greatest common factor (GCF) of 85141 and 85148 is 7.

GCF(85141,85148) = 7

We will now calculate the prime factors of 85141 and 85148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85141 and 85148.

How to find the GCF of 85141 and 85148?

We will first find the prime factorization of 85141 and 85148. After we will calculate the factors of 85141 and 85148 and find the biggest common factor number .

Step-1: Prime Factorization of 85141

Prime factors of 85141 are 7, 12163. Prime factorization of 85141 in exponential form is:

85141 = 7¹ × 12163¹

Step-2: Prime Factorization of 85148

Prime factors of 85148 are 2, 7, 3041. Prime factorization of 85148 in exponential form is:

85148 = 2² × 7¹ × 3041¹

Step-3: Factors of 85141

List of positive integer factors of 85141 that divides 85141 without a remainder.

1, 7, 12163

Step-4: Factors of 85148

List of positive integer factors of 85148 that divides 85141 without a remainder.

1, 2, 4, 7, 14, 28, 3041, 6082, 12164, 21287, 42574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85141 and 85148. The biggest common factor number is the GCF number.
So the greatest common factor 85141 and 85148 is 7.

Also check out the Least Common Multiple of 85141 and 85148