What is the Greatest Common Factor of 69760 and 69776?

Greatest common factor (GCF) of 69760 and 69776 is 16.

GCF(69760,69776) = 16

We will now calculate the prime factors of 69760 and 69776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69760 and 69776.

How to find the GCF of 69760 and 69776?

We will first find the prime factorization of 69760 and 69776. After we will calculate the factors of 69760 and 69776 and find the biggest common factor number .

Step-1: Prime Factorization of 69760

Prime factors of 69760 are 2, 5, 109. Prime factorization of 69760 in exponential form is:

69760 = 2⁷ × 5¹ × 109¹

Step-2: Prime Factorization of 69776

Prime factors of 69776 are 2, 7, 89. Prime factorization of 69776 in exponential form is:

69776 = 2⁴ × 7² × 89¹

Step-3: Factors of 69760

List of positive integer factors of 69760 that divides 69760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 109, 128, 160, 218, 320, 436, 545, 640, 872, 1090, 1744, 2180, 3488, 4360, 6976, 8720, 13952, 17440, 34880

Step-4: Factors of 69776

List of positive integer factors of 69776 that divides 69760 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 89, 98, 112, 178, 196, 356, 392, 623, 712, 784, 1246, 1424, 2492, 4361, 4984, 8722, 9968, 17444, 34888

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69760 and 69776. The biggest common factor number is the GCF number.
So the greatest common factor 69760 and 69776 is 16.

Also check out the Least Common Multiple of 69760 and 69776