What is the Greatest Common Factor of 79730 and 79744?

Greatest common factor (GCF) of 79730 and 79744 is 14.

GCF(79730,79744) = 14

We will now calculate the prime factors of 79730 and 79744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79730 and 79744.

How to find the GCF of 79730 and 79744?

We will first find the prime factorization of 79730 and 79744. After we will calculate the factors of 79730 and 79744 and find the biggest common factor number .

Step-1: Prime Factorization of 79730

Prime factors of 79730 are 2, 5, 7, 17, 67. Prime factorization of 79730 in exponential form is:

79730 = 2¹ × 5¹ × 7¹ × 17¹ × 67¹

Step-2: Prime Factorization of 79744

Prime factors of 79744 are 2, 7, 89. Prime factorization of 79744 in exponential form is:

79744 = 2⁷ × 7¹ × 89¹

Step-3: Factors of 79730

List of positive integer factors of 79730 that divides 79730 without a remainder.

1, 2, 5, 7, 10, 14, 17, 34, 35, 67, 70, 85, 119, 134, 170, 238, 335, 469, 595, 670, 938, 1139, 1190, 2278, 2345, 4690, 5695, 7973, 11390, 15946, 39865

Step-4: Factors of 79744

List of positive integer factors of 79744 that divides 79730 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 128, 178, 224, 356, 448, 623, 712, 896, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 11392, 19936, 39872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79730 and 79744. The biggest common factor number is the GCF number.
So the greatest common factor 79730 and 79744 is 14.

Also check out the Least Common Multiple of 79730 and 79744