What is the Greatest Common Factor of 75049 and 75069?

Greatest common factor (GCF) of 75049 and 75069 is 1.

GCF(75049,75069) = 1

We will now calculate the prime factors of 75049 and 75069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75049 and 75069.

How to find the GCF of 75049 and 75069?

We will first find the prime factorization of 75049 and 75069. After we will calculate the factors of 75049 and 75069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75069

Prime factors of 75069 are 3, 19, 439. Prime factorization of 75069 in exponential form is:

75069 = 3² × 19¹ × 439¹

Step-3: Factors of 75049

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

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

Step-4: Factors of 75069

List of positive integer factors of 75069 that divides 75049 without a remainder.

1, 3, 9, 19, 57, 171, 439, 1317, 3951, 8341, 25023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75049 and 75069. The biggest common factor number is the GCF number.
So the greatest common factor 75049 and 75069 is 1.

Also check out the Least Common Multiple of 75049 and 75069