What is the Greatest Common Factor of 23542 and 23560?

Greatest common factor (GCF) of 23542 and 23560 is 2.

GCF(23542,23560) = 2

We will now calculate the prime factors of 23542 and 23560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23542 and 23560.

How to find the GCF of 23542 and 23560?

We will first find the prime factorization of 23542 and 23560. After we will calculate the factors of 23542 and 23560 and find the biggest common factor number .

Step-1: Prime Factorization of 23542

Prime factors of 23542 are 2, 79, 149. Prime factorization of 23542 in exponential form is:

23542 = 2¹ × 79¹ × 149¹

Step-2: Prime Factorization of 23560

Prime factors of 23560 are 2, 5, 19, 31. Prime factorization of 23560 in exponential form is:

23560 = 2³ × 5¹ × 19¹ × 31¹

Step-3: Factors of 23542

List of positive integer factors of 23542 that divides 23542 without a remainder.

1, 2, 79, 149, 158, 298, 11771

Step-4: Factors of 23560

List of positive integer factors of 23560 that divides 23542 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 31, 38, 40, 62, 76, 95, 124, 152, 155, 190, 248, 310, 380, 589, 620, 760, 1178, 1240, 2356, 2945, 4712, 5890, 11780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23542 and 23560. The biggest common factor number is the GCF number.
So the greatest common factor 23542 and 23560 is 2.

Also check out the Least Common Multiple of 23542 and 23560