What is the Greatest Common Factor of 74235 and 74249?

Greatest common factor (GCF) of 74235 and 74249 is 7.

GCF(74235,74249) = 7

We will now calculate the prime factors of 74235 and 74249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74235 and 74249.

How to find the GCF of 74235 and 74249?

We will first find the prime factorization of 74235 and 74249. After we will calculate the factors of 74235 and 74249 and find the biggest common factor number .

Step-1: Prime Factorization of 74235

Prime factors of 74235 are 3, 5, 7, 101. Prime factorization of 74235 in exponential form is:

74235 = 3¹ × 5¹ × 7² × 101¹

Step-2: Prime Factorization of 74249

Prime factors of 74249 are 7, 10607. Prime factorization of 74249 in exponential form is:

74249 = 7¹ × 10607¹

Step-3: Factors of 74235

List of positive integer factors of 74235 that divides 74235 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 101, 105, 147, 245, 303, 505, 707, 735, 1515, 2121, 3535, 4949, 10605, 14847, 24745

Step-4: Factors of 74249

List of positive integer factors of 74249 that divides 74235 without a remainder.

1, 7, 10607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74235 and 74249. The biggest common factor number is the GCF number.
So the greatest common factor 74235 and 74249 is 7.

Also check out the Least Common Multiple of 74235 and 74249