What is the Greatest Common Factor of 77534 and 77552?

Greatest common factor (GCF) of 77534 and 77552 is 2.

GCF(77534,77552) = 2

We will now calculate the prime factors of 77534 and 77552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77534 and 77552.

How to find the GCF of 77534 and 77552?

We will first find the prime factorization of 77534 and 77552. After we will calculate the factors of 77534 and 77552 and find the biggest common factor number .

Step-1: Prime Factorization of 77534

Prime factors of 77534 are 2, 38767. Prime factorization of 77534 in exponential form is:

77534 = 2¹ × 38767¹

Step-2: Prime Factorization of 77552

Prime factors of 77552 are 2, 37, 131. Prime factorization of 77552 in exponential form is:

77552 = 2⁴ × 37¹ × 131¹

Step-3: Factors of 77534

List of positive integer factors of 77534 that divides 77534 without a remainder.

1, 2, 38767

Step-4: Factors of 77552

List of positive integer factors of 77552 that divides 77534 without a remainder.

1, 2, 4, 8, 16, 37, 74, 131, 148, 262, 296, 524, 592, 1048, 2096, 4847, 9694, 19388, 38776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77534 and 77552. The biggest common factor number is the GCF number.
So the greatest common factor 77534 and 77552 is 2.

Also check out the Least Common Multiple of 77534 and 77552