What is the Greatest Common Factor of 69720 and 69730?

Greatest common factor (GCF) of 69720 and 69730 is 10.

GCF(69720,69730) = 10

We will now calculate the prime factors of 69720 and 69730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69720 and 69730.

How to find the GCF of 69720 and 69730?

We will first find the prime factorization of 69720 and 69730. After we will calculate the factors of 69720 and 69730 and find the biggest common factor number .

Step-1: Prime Factorization of 69720

Prime factors of 69720 are 2, 3, 5, 7, 83. Prime factorization of 69720 in exponential form is:

69720 = 2³ × 3¹ × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 69730

Prime factors of 69730 are 2, 5, 19, 367. Prime factorization of 69730 in exponential form is:

69730 = 2¹ × 5¹ × 19¹ × 367¹

Step-3: Factors of 69720

List of positive integer factors of 69720 that divides 69720 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 83, 84, 105, 120, 140, 166, 168, 210, 249, 280, 332, 415, 420, 498, 581, 664, 830, 840, 996, 1162, 1245, 1660, 1743, 1992, 2324, 2490, 2905, 3320, 3486, 4648, 4980, 5810, 6972, 8715, 9960, 11620, 13944, 17430, 23240, 34860

Step-4: Factors of 69730

List of positive integer factors of 69730 that divides 69720 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 367, 734, 1835, 3670, 6973, 13946, 34865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69720 and 69730. The biggest common factor number is the GCF number.
So the greatest common factor 69720 and 69730 is 10.

Also check out the Least Common Multiple of 69720 and 69730