What is the Greatest Common Factor of 75630 and 75640?

Greatest common factor (GCF) of 75630 and 75640 is 10.

GCF(75630,75640) = 10

We will now calculate the prime factors of 75630 and 75640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75630 and 75640.

How to find the GCF of 75630 and 75640?

We will first find the prime factorization of 75630 and 75640. After we will calculate the factors of 75630 and 75640 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 75640

Prime factors of 75640 are 2, 5, 31, 61. Prime factorization of 75640 in exponential form is:

75640 = 2³ × 5¹ × 31¹ × 61¹

Step-3: Factors of 75630

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

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

Step-4: Factors of 75640

List of positive integer factors of 75640 that divides 75630 without a remainder.

1, 2, 4, 5, 8, 10, 20, 31, 40, 61, 62, 122, 124, 155, 244, 248, 305, 310, 488, 610, 620, 1220, 1240, 1891, 2440, 3782, 7564, 9455, 15128, 18910, 37820

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75630 and 75640. The biggest common factor number is the GCF number.
So the greatest common factor 75630 and 75640 is 10.

Also check out the Least Common Multiple of 75630 and 75640