What is the Greatest Common Factor of 79440 and 79450?

Greatest common factor (GCF) of 79440 and 79450 is 10.

GCF(79440,79450) = 10

We will now calculate the prime factors of 79440 and 79450, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79440 and 79450.

How to find the GCF of 79440 and 79450?

We will first find the prime factorization of 79440 and 79450. After we will calculate the factors of 79440 and 79450 and find the biggest common factor number .

Step-1: Prime Factorization of 79440

Prime factors of 79440 are 2, 3, 5, 331. Prime factorization of 79440 in exponential form is:

79440 = 2⁴ × 3¹ × 5¹ × 331¹

Step-2: Prime Factorization of 79450

Prime factors of 79450 are 2, 5, 7, 227. Prime factorization of 79450 in exponential form is:

79450 = 2¹ × 5² × 7¹ × 227¹

Step-3: Factors of 79440

List of positive integer factors of 79440 that divides 79440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 331, 662, 993, 1324, 1655, 1986, 2648, 3310, 3972, 4965, 5296, 6620, 7944, 9930, 13240, 15888, 19860, 26480, 39720

Step-4: Factors of 79450

List of positive integer factors of 79450 that divides 79440 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 227, 350, 454, 1135, 1589, 2270, 3178, 5675, 7945, 11350, 15890, 39725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79440 and 79450. The biggest common factor number is the GCF number.
So the greatest common factor 79440 and 79450 is 10.

Also check out the Least Common Multiple of 79440 and 79450