What is the Greatest Common Factor of 77542 and 77560?

Greatest common factor (GCF) of 77542 and 77560 is 2.

GCF(77542,77560) = 2

We will now calculate the prime factors of 77542 and 77560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77542 and 77560.

How to find the GCF of 77542 and 77560?

We will first find the prime factorization of 77542 and 77560. After we will calculate the factors of 77542 and 77560 and find the biggest common factor number .

Step-1: Prime Factorization of 77542

Prime factors of 77542 are 2, 137, 283. Prime factorization of 77542 in exponential form is:

77542 = 2¹ × 137¹ × 283¹

Step-2: Prime Factorization of 77560

Prime factors of 77560 are 2, 5, 7, 277. Prime factorization of 77560 in exponential form is:

77560 = 2³ × 5¹ × 7¹ × 277¹

Step-3: Factors of 77542

List of positive integer factors of 77542 that divides 77542 without a remainder.

1, 2, 137, 274, 283, 566, 38771

Step-4: Factors of 77560

List of positive integer factors of 77560 that divides 77542 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 277, 280, 554, 1108, 1385, 1939, 2216, 2770, 3878, 5540, 7756, 9695, 11080, 15512, 19390, 38780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77542 and 77560. The biggest common factor number is the GCF number.
So the greatest common factor 77542 and 77560 is 2.

Also check out the Least Common Multiple of 77542 and 77560