What is the Greatest Common Factor of 70720 and 70729?

Greatest common factor (GCF) of 70720 and 70729 is 1.

GCF(70720,70729) = 1

We will now calculate the prime factors of 70720 and 70729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70720 and 70729.

How to find the GCF of 70720 and 70729?

We will first find the prime factorization of 70720 and 70729. After we will calculate the factors of 70720 and 70729 and find the biggest common factor number .

Step-1: Prime Factorization of 70720

Prime factors of 70720 are 2, 5, 13, 17. Prime factorization of 70720 in exponential form is:

70720 = 2⁶ × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 70729

Prime factors of 70729 are 70729. Prime factorization of 70729 in exponential form is:

70729 = 70729¹

Step-3: Factors of 70720

List of positive integer factors of 70720 that divides 70720 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 17, 20, 26, 32, 34, 40, 52, 64, 65, 68, 80, 85, 104, 130, 136, 160, 170, 208, 221, 260, 272, 320, 340, 416, 442, 520, 544, 680, 832, 884, 1040, 1088, 1105, 1360, 1768, 2080, 2210, 2720, 3536, 4160, 4420, 5440, 7072, 8840, 14144, 17680, 35360

Step-4: Factors of 70729

List of positive integer factors of 70729 that divides 70720 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70720 and 70729. The biggest common factor number is the GCF number.
So the greatest common factor 70720 and 70729 is 1.

Also check out the Least Common Multiple of 70720 and 70729