What is the Greatest Common Factor of 75610 and 75630?

Greatest common factor (GCF) of 75610 and 75630 is 10.

GCF(75610,75630) = 10

We will now calculate the prime factors of 75610 and 75630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75610 and 75630.

How to find the GCF of 75610 and 75630?

We will first find the prime factorization of 75610 and 75630. After we will calculate the factors of 75610 and 75630 and find the biggest common factor number .

Step-1: Prime Factorization of 75610

Prime factors of 75610 are 2, 5, 7561. Prime factorization of 75610 in exponential form is:

75610 = 2¹ × 5¹ × 7561¹

Step-2: Prime Factorization of 75630

Prime factors of 75630 are 2, 3, 5, 2521. Prime factorization of 75630 in exponential form is:

75630 = 2¹ × 3¹ × 5¹ × 2521¹

Step-3: Factors of 75610

List of positive integer factors of 75610 that divides 75610 without a remainder.

1, 2, 5, 10, 7561, 15122, 37805

Step-4: Factors of 75630

List of positive integer factors of 75630 that divides 75610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2521, 5042, 7563, 12605, 15126, 25210, 37815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75610 and 75630. The biggest common factor number is the GCF number.
So the greatest common factor 75610 and 75630 is 10.

Also check out the Least Common Multiple of 75610 and 75630