What is the Greatest Common Factor of 69776 and 69789?

Greatest common factor (GCF) of 69776 and 69789 is 1.

GCF(69776,69789) = 1

We will now calculate the prime factors of 69776 and 69789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69776 and 69789.

How to find the GCF of 69776 and 69789?

We will first find the prime factorization of 69776 and 69789. After we will calculate the factors of 69776 and 69789 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 69789

Prime factors of 69789 are 3, 43, 541. Prime factorization of 69789 in exponential form is:

69789 = 3¹ × 43¹ × 541¹

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 69789

List of positive integer factors of 69789 that divides 69776 without a remainder.

1, 3, 43, 129, 541, 1623, 23263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69776 and 69789. The biggest common factor number is the GCF number.
So the greatest common factor 69776 and 69789 is 1.

Also check out the Least Common Multiple of 69776 and 69789