What is the Greatest Common Factor of 75630 and 75650?

Greatest common factor (GCF) of 75630 and 75650 is 10.

GCF(75630,75650) = 10

We will now calculate the prime factors of 75630 and 75650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75630 and 75650.

How to find the GCF of 75630 and 75650?

We will first find the prime factorization of 75630 and 75650. After we will calculate the factors of 75630 and 75650 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 75650

Prime factors of 75650 are 2, 5, 17, 89. Prime factorization of 75650 in exponential form is:

75650 = 2¹ × 5² × 17¹ × 89¹

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 75650

List of positive integer factors of 75650 that divides 75630 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 89, 170, 178, 425, 445, 850, 890, 1513, 2225, 3026, 4450, 7565, 15130, 37825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75630 and 75650. The biggest common factor number is the GCF number.
So the greatest common factor 75630 and 75650 is 10.

Also check out the Least Common Multiple of 75630 and 75650