What is the Greatest Common Factor of 75490 and 75506?

Greatest common factor (GCF) of 75490 and 75506 is 2.

GCF(75490,75506) = 2

We will now calculate the prime factors of 75490 and 75506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75490 and 75506.

How to find the GCF of 75490 and 75506?

We will first find the prime factorization of 75490 and 75506. After we will calculate the factors of 75490 and 75506 and find the biggest common factor number .

Step-1: Prime Factorization of 75490

Prime factors of 75490 are 2, 5, 7549. Prime factorization of 75490 in exponential form is:

75490 = 2¹ × 5¹ × 7549¹

Step-2: Prime Factorization of 75506

Prime factors of 75506 are 2, 19, 1987. Prime factorization of 75506 in exponential form is:

75506 = 2¹ × 19¹ × 1987¹

Step-3: Factors of 75490

List of positive integer factors of 75490 that divides 75490 without a remainder.

1, 2, 5, 10, 7549, 15098, 37745

Step-4: Factors of 75506

List of positive integer factors of 75506 that divides 75490 without a remainder.

1, 2, 19, 38, 1987, 3974, 37753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75490 and 75506. The biggest common factor number is the GCF number.
So the greatest common factor 75490 and 75506 is 2.

Also check out the Least Common Multiple of 75490 and 75506