What is the Greatest Common Factor of 25060 and 25074?

Greatest common factor (GCF) of 25060 and 25074 is 14.

GCF(25060,25074) = 14

We will now calculate the prime factors of 25060 and 25074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25060 and 25074.

How to find the GCF of 25060 and 25074?

We will first find the prime factorization of 25060 and 25074. After we will calculate the factors of 25060 and 25074 and find the biggest common factor number .

Step-1: Prime Factorization of 25060

Prime factors of 25060 are 2, 5, 7, 179. Prime factorization of 25060 in exponential form is:

25060 = 2² × 5¹ × 7¹ × 179¹

Step-2: Prime Factorization of 25074

Prime factors of 25074 are 2, 3, 7, 199. Prime factorization of 25074 in exponential form is:

25074 = 2¹ × 3² × 7¹ × 199¹

Step-3: Factors of 25060

List of positive integer factors of 25060 that divides 25060 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 179, 358, 716, 895, 1253, 1790, 2506, 3580, 5012, 6265, 12530

Step-4: Factors of 25074

List of positive integer factors of 25074 that divides 25060 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 199, 398, 597, 1194, 1393, 1791, 2786, 3582, 4179, 8358, 12537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25060 and 25074. The biggest common factor number is the GCF number.
So the greatest common factor 25060 and 25074 is 14.

Also check out the Least Common Multiple of 25060 and 25074