What is the Greatest Common Factor of 69776 and 69792?

Greatest common factor (GCF) of 69776 and 69792 is 16.

GCF(69776,69792) = 16

We will now calculate the prime factors of 69776 and 69792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69776 and 69792.

How to find the GCF of 69776 and 69792?

We will first find the prime factorization of 69776 and 69792. After we will calculate the factors of 69776 and 69792 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 69792

Prime factors of 69792 are 2, 3, 727. Prime factorization of 69792 in exponential form is:

69792 = 2⁵ × 3¹ × 727¹

Step-3: Factors of 69776

List of positive integer factors of 69776 that divides 69776 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

Step-4: Factors of 69792

List of positive integer factors of 69792 that divides 69776 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 727, 1454, 2181, 2908, 4362, 5816, 8724, 11632, 17448, 23264, 34896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69776 and 69792. The biggest common factor number is the GCF number.
So the greatest common factor 69776 and 69792 is 16.

Also check out the Least Common Multiple of 69776 and 69792