What is the Greatest Common Factor of 75036 and 75049?

Greatest common factor (GCF) of 75036 and 75049 is 13.

GCF(75036,75049) = 13

We will now calculate the prime factors of 75036 and 75049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75036 and 75049.

How to find the GCF of 75036 and 75049?

We will first find the prime factorization of 75036 and 75049. After we will calculate the factors of 75036 and 75049 and find the biggest common factor number .

Step-1: Prime Factorization of 75036

Prime factors of 75036 are 2, 3, 13, 37. Prime factorization of 75036 in exponential form is:

75036 = 2² × 3¹ × 13² × 37¹

Step-2: Prime Factorization of 75049

Prime factors of 75049 are 13, 23, 251. Prime factorization of 75049 in exponential form is:

75049 = 13¹ × 23¹ × 251¹

Step-3: Factors of 75036

List of positive integer factors of 75036 that divides 75036 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 37, 39, 52, 74, 78, 111, 148, 156, 169, 222, 338, 444, 481, 507, 676, 962, 1014, 1443, 1924, 2028, 2886, 5772, 6253, 12506, 18759, 25012, 37518

Step-4: Factors of 75049

List of positive integer factors of 75049 that divides 75036 without a remainder.

1, 13, 23, 251, 299, 3263, 5773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75036 and 75049. The biggest common factor number is the GCF number.
So the greatest common factor 75036 and 75049 is 13.

Also check out the Least Common Multiple of 75036 and 75049