What is the Greatest Common Factor of 41125 and 41139?

Greatest common factor (GCF) of 41125 and 41139 is 7.

GCF(41125,41139) = 7

We will now calculate the prime factors of 41125 and 41139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41125 and 41139.

How to find the GCF of 41125 and 41139?

We will first find the prime factorization of 41125 and 41139. After we will calculate the factors of 41125 and 41139 and find the biggest common factor number .

Step-1: Prime Factorization of 41125

Prime factors of 41125 are 5, 7, 47. Prime factorization of 41125 in exponential form is:

41125 = 5³ × 7¹ × 47¹

Step-2: Prime Factorization of 41139

Prime factors of 41139 are 3, 7, 653. Prime factorization of 41139 in exponential form is:

41139 = 3² × 7¹ × 653¹

Step-3: Factors of 41125

List of positive integer factors of 41125 that divides 41125 without a remainder.

1, 5, 7, 25, 35, 47, 125, 175, 235, 329, 875, 1175, 1645, 5875, 8225

Step-4: Factors of 41139

List of positive integer factors of 41139 that divides 41125 without a remainder.

1, 3, 7, 9, 21, 63, 653, 1959, 4571, 5877, 13713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41125 and 41139. The biggest common factor number is the GCF number.
So the greatest common factor 41125 and 41139 is 7.

Also check out the Least Common Multiple of 41125 and 41139