What is the Greatest Common Factor of 25051 and 25064?

Greatest common factor (GCF) of 25051 and 25064 is 13.

GCF(25051,25064) = 13

We will now calculate the prime factors of 25051 and 25064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25051 and 25064.

How to find the GCF of 25051 and 25064?

We will first find the prime factorization of 25051 and 25064. After we will calculate the factors of 25051 and 25064 and find the biggest common factor number .

Step-1: Prime Factorization of 25051

Prime factors of 25051 are 13, 41, 47. Prime factorization of 25051 in exponential form is:

25051 = 13¹ × 41¹ × 47¹

Step-2: Prime Factorization of 25064

Prime factors of 25064 are 2, 13, 241. Prime factorization of 25064 in exponential form is:

25064 = 2³ × 13¹ × 241¹

Step-3: Factors of 25051

List of positive integer factors of 25051 that divides 25051 without a remainder.

1, 13, 41, 47, 533, 611, 1927

Step-4: Factors of 25064

List of positive integer factors of 25064 that divides 25051 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 241, 482, 964, 1928, 3133, 6266, 12532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25051 and 25064. The biggest common factor number is the GCF number.
So the greatest common factor 25051 and 25064 is 13.

Also check out the Least Common Multiple of 25051 and 25064