What is the Greatest Common Factor of 70980 and 70996?

Greatest common factor (GCF) of 70980 and 70996 is 4.

GCF(70980,70996) = 4

We will now calculate the prime factors of 70980 and 70996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70980 and 70996.

How to find the GCF of 70980 and 70996?

We will first find the prime factorization of 70980 and 70996. After we will calculate the factors of 70980 and 70996 and find the biggest common factor number .

Step-1: Prime Factorization of 70980

Prime factors of 70980 are 2, 3, 5, 7, 13. Prime factorization of 70980 in exponential form is:

70980 = 2² × 3¹ × 5¹ × 7¹ × 13²

Step-2: Prime Factorization of 70996

Prime factors of 70996 are 2, 17749. Prime factorization of 70996 in exponential form is:

70996 = 2² × 17749¹

Step-3: Factors of 70980

List of positive integer factors of 70980 that divides 70980 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 169, 182, 195, 210, 260, 273, 338, 364, 390, 420, 455, 507, 546, 676, 780, 845, 910, 1014, 1092, 1183, 1365, 1690, 1820, 2028, 2366, 2535, 2730, 3380, 3549, 4732, 5070, 5460, 5915, 7098, 10140, 11830, 14196, 17745, 23660, 35490

Step-4: Factors of 70996

List of positive integer factors of 70996 that divides 70980 without a remainder.

1, 2, 4, 17749, 35498

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70980 and 70996. The biggest common factor number is the GCF number.
So the greatest common factor 70980 and 70996 is 4.

Also check out the Least Common Multiple of 70980 and 70996