What is the Greatest Common Factor of 5461 and 5467?

Greatest common factor (GCF) of 5461 and 5467 is 1.

GCF(5461,5467) = 1

We will now calculate the prime factors of 5461 and 5467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5461 and 5467.

How to find the GCF of 5461 and 5467?

We will first find the prime factorization of 5461 and 5467. After we will calculate the factors of 5461 and 5467 and find the biggest common factor number .

Step-1: Prime Factorization of 5461

Prime factors of 5461 are 43, 127. Prime factorization of 5461 in exponential form is:

5461 = 43¹ × 127¹

Step-2: Prime Factorization of 5467

Prime factors of 5467 are 7, 11, 71. Prime factorization of 5467 in exponential form is:

5467 = 7¹ × 11¹ × 71¹

Step-3: Factors of 5461

List of positive integer factors of 5461 that divides 5461 without a remainder.

1, 43, 127

Step-4: Factors of 5467

List of positive integer factors of 5467 that divides 5461 without a remainder.

1, 7, 11, 71, 77, 497, 781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5461 and 5467. The biggest common factor number is the GCF number.
So the greatest common factor 5461 and 5467 is 1.

Also check out the Least Common Multiple of 5461 and 5467