What is the Greatest Common Factor of 75649 and 75663?

Greatest common factor (GCF) of 75649 and 75663 is 7.

GCF(75649,75663) = 7

We will now calculate the prime factors of 75649 and 75663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75649 and 75663.

How to find the GCF of 75649 and 75663?

We will first find the prime factorization of 75649 and 75663. After we will calculate the factors of 75649 and 75663 and find the biggest common factor number .

Step-1: Prime Factorization of 75649

Prime factors of 75649 are 7, 101, 107. Prime factorization of 75649 in exponential form is:

75649 = 7¹ × 101¹ × 107¹

Step-2: Prime Factorization of 75663

Prime factors of 75663 are 3, 7, 1201. Prime factorization of 75663 in exponential form is:

75663 = 3² × 7¹ × 1201¹

Step-3: Factors of 75649

List of positive integer factors of 75649 that divides 75649 without a remainder.

1, 7, 101, 107, 707, 749, 10807

Step-4: Factors of 75663

List of positive integer factors of 75663 that divides 75649 without a remainder.

1, 3, 7, 9, 21, 63, 1201, 3603, 8407, 10809, 25221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75649 and 75663. The biggest common factor number is the GCF number.
So the greatest common factor 75649 and 75663 is 7.

Also check out the Least Common Multiple of 75649 and 75663