What is the Greatest Common Factor of 25702 and 25708?

Greatest common factor (GCF) of 25702 and 25708 is 2.

GCF(25702,25708) = 2

We will now calculate the prime factors of 25702 and 25708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25702 and 25708.

How to find the GCF of 25702 and 25708?

We will first find the prime factorization of 25702 and 25708. After we will calculate the factors of 25702 and 25708 and find the biggest common factor number .

Step-1: Prime Factorization of 25702

Prime factors of 25702 are 2, 71, 181. Prime factorization of 25702 in exponential form is:

25702 = 2¹ × 71¹ × 181¹

Step-2: Prime Factorization of 25708

Prime factors of 25708 are 2, 6427. Prime factorization of 25708 in exponential form is:

25708 = 2² × 6427¹

Step-3: Factors of 25702

List of positive integer factors of 25702 that divides 25702 without a remainder.

1, 2, 71, 142, 181, 362, 12851

Step-4: Factors of 25708

List of positive integer factors of 25708 that divides 25702 without a remainder.

1, 2, 4, 6427, 12854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25702 and 25708. The biggest common factor number is the GCF number.
So the greatest common factor 25702 and 25708 is 2.

Also check out the Least Common Multiple of 25702 and 25708