What is the Greatest Common Factor of 77230 and 77250?

Greatest common factor (GCF) of 77230 and 77250 is 10.

GCF(77230,77250) = 10

We will now calculate the prime factors of 77230 and 77250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77230 and 77250.

How to find the GCF of 77230 and 77250?

We will first find the prime factorization of 77230 and 77250. After we will calculate the factors of 77230 and 77250 and find the biggest common factor number .

Step-1: Prime Factorization of 77230

Prime factors of 77230 are 2, 5, 7723. Prime factorization of 77230 in exponential form is:

77230 = 2¹ × 5¹ × 7723¹

Step-2: Prime Factorization of 77250

Prime factors of 77250 are 2, 3, 5, 103. Prime factorization of 77250 in exponential form is:

77250 = 2¹ × 3¹ × 5³ × 103¹

Step-3: Factors of 77230

List of positive integer factors of 77230 that divides 77230 without a remainder.

1, 2, 5, 10, 7723, 15446, 38615

Step-4: Factors of 77250

List of positive integer factors of 77250 that divides 77230 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 103, 125, 150, 206, 250, 309, 375, 515, 618, 750, 1030, 1545, 2575, 3090, 5150, 7725, 12875, 15450, 25750, 38625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77230 and 77250. The biggest common factor number is the GCF number.
So the greatest common factor 77230 and 77250 is 10.

Also check out the Least Common Multiple of 77230 and 77250