What is the Greatest Common Factor of 77230 and 77244?

Greatest common factor (GCF) of 77230 and 77244 is 2.

GCF(77230,77244) = 2

We will now calculate the prime factors of 77230 and 77244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77230 and 77244.

How to find the GCF of 77230 and 77244?

We will first find the prime factorization of 77230 and 77244. After we will calculate the factors of 77230 and 77244 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 77244

Prime factors of 77244 are 2, 3, 41, 157. Prime factorization of 77244 in exponential form is:

77244 = 2² × 3¹ × 41¹ × 157¹

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 77244

List of positive integer factors of 77244 that divides 77230 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 157, 164, 246, 314, 471, 492, 628, 942, 1884, 6437, 12874, 19311, 25748, 38622

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77230 and 77244. The biggest common factor number is the GCF number.
So the greatest common factor 77230 and 77244 is 2.

Also check out the Least Common Multiple of 77230 and 77244